Populating function inputs from lists












2












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I have several lists containing variables, e.g. list1={x1,x2,x3}, list2={y1,y2,y3}, etc. I would like to define a function in those variables, i.e. f[x1,x2,x3,y1,y2,y3]. I have tried to use Do and AppendTo but this seems to reset f at every iteration. Any help is appreciated.










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    2












    $begingroup$


    I have several lists containing variables, e.g. list1={x1,x2,x3}, list2={y1,y2,y3}, etc. I would like to define a function in those variables, i.e. f[x1,x2,x3,y1,y2,y3]. I have tried to use Do and AppendTo but this seems to reset f at every iteration. Any help is appreciated.










    share|improve this question









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      2












      2








      2





      $begingroup$


      I have several lists containing variables, e.g. list1={x1,x2,x3}, list2={y1,y2,y3}, etc. I would like to define a function in those variables, i.e. f[x1,x2,x3,y1,y2,y3]. I have tried to use Do and AppendTo but this seems to reset f at every iteration. Any help is appreciated.










      share|improve this question









      $endgroup$




      I have several lists containing variables, e.g. list1={x1,x2,x3}, list2={y1,y2,y3}, etc. I would like to define a function in those variables, i.e. f[x1,x2,x3,y1,y2,y3]. I have tried to use Do and AppendTo but this seems to reset f at every iteration. Any help is appreciated.







      functions procedural-programming






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      share|improve this question










      asked Apr 2 at 12:24









      BranBran

      1365




      1365






















          1 Answer
          1






          active

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          7












          $begingroup$

          f@@(list1 ~Join~ list2)


          Or, more generally, use @@ to "open" the structure of List:



          list1 = {x1, x2, x3}; list2 = {y1, y2, y3};
          f @@ (list1~Join~list2)



          f[x1, x2, x3, y1, y2, y3]




          For a list of lists:



          listOflists = {list1, list2}
          f @@ (Flatten@listOflists)



          f[x1, x2, x3, y1, y2, y3]







          share|improve this answer











          $endgroup$













          • $begingroup$
            Yes, it does. Thanks. I will accept your answer.
            $endgroup$
            – Bran
            Apr 2 at 12:34












          • $begingroup$
            @Bran it gives exactly what you asked for, f[x1, x2, x3, y1, y2, y3]...
            $endgroup$
            – Kuba
            Apr 2 at 12:35










          • $begingroup$
            @Bran I'm not understand. They are! Try it, pls.
            $endgroup$
            – Slepecky Mamut
            Apr 2 at 12:36












          • $begingroup$
            @SlepeckyMamut How can I add more variables to the function not from a list? Like f[z1,z2,x1,x2,x3,y1,y2,y3].
            $endgroup$
            – Bran
            Apr 2 at 12:39








          • 1




            $begingroup$
            @Bran f[whatever, ##, whatever2]& @@ ...
            $endgroup$
            – Kuba
            Apr 2 at 12:44












          Your Answer





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          1 Answer
          1






          active

          oldest

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          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          7












          $begingroup$

          f@@(list1 ~Join~ list2)


          Or, more generally, use @@ to "open" the structure of List:



          list1 = {x1, x2, x3}; list2 = {y1, y2, y3};
          f @@ (list1~Join~list2)



          f[x1, x2, x3, y1, y2, y3]




          For a list of lists:



          listOflists = {list1, list2}
          f @@ (Flatten@listOflists)



          f[x1, x2, x3, y1, y2, y3]







          share|improve this answer











          $endgroup$













          • $begingroup$
            Yes, it does. Thanks. I will accept your answer.
            $endgroup$
            – Bran
            Apr 2 at 12:34












          • $begingroup$
            @Bran it gives exactly what you asked for, f[x1, x2, x3, y1, y2, y3]...
            $endgroup$
            – Kuba
            Apr 2 at 12:35










          • $begingroup$
            @Bran I'm not understand. They are! Try it, pls.
            $endgroup$
            – Slepecky Mamut
            Apr 2 at 12:36












          • $begingroup$
            @SlepeckyMamut How can I add more variables to the function not from a list? Like f[z1,z2,x1,x2,x3,y1,y2,y3].
            $endgroup$
            – Bran
            Apr 2 at 12:39








          • 1




            $begingroup$
            @Bran f[whatever, ##, whatever2]& @@ ...
            $endgroup$
            – Kuba
            Apr 2 at 12:44
















          7












          $begingroup$

          f@@(list1 ~Join~ list2)


          Or, more generally, use @@ to "open" the structure of List:



          list1 = {x1, x2, x3}; list2 = {y1, y2, y3};
          f @@ (list1~Join~list2)



          f[x1, x2, x3, y1, y2, y3]




          For a list of lists:



          listOflists = {list1, list2}
          f @@ (Flatten@listOflists)



          f[x1, x2, x3, y1, y2, y3]







          share|improve this answer











          $endgroup$













          • $begingroup$
            Yes, it does. Thanks. I will accept your answer.
            $endgroup$
            – Bran
            Apr 2 at 12:34












          • $begingroup$
            @Bran it gives exactly what you asked for, f[x1, x2, x3, y1, y2, y3]...
            $endgroup$
            – Kuba
            Apr 2 at 12:35










          • $begingroup$
            @Bran I'm not understand. They are! Try it, pls.
            $endgroup$
            – Slepecky Mamut
            Apr 2 at 12:36












          • $begingroup$
            @SlepeckyMamut How can I add more variables to the function not from a list? Like f[z1,z2,x1,x2,x3,y1,y2,y3].
            $endgroup$
            – Bran
            Apr 2 at 12:39








          • 1




            $begingroup$
            @Bran f[whatever, ##, whatever2]& @@ ...
            $endgroup$
            – Kuba
            Apr 2 at 12:44














          7












          7








          7





          $begingroup$

          f@@(list1 ~Join~ list2)


          Or, more generally, use @@ to "open" the structure of List:



          list1 = {x1, x2, x3}; list2 = {y1, y2, y3};
          f @@ (list1~Join~list2)



          f[x1, x2, x3, y1, y2, y3]




          For a list of lists:



          listOflists = {list1, list2}
          f @@ (Flatten@listOflists)



          f[x1, x2, x3, y1, y2, y3]







          share|improve this answer











          $endgroup$



          f@@(list1 ~Join~ list2)


          Or, more generally, use @@ to "open" the structure of List:



          list1 = {x1, x2, x3}; list2 = {y1, y2, y3};
          f @@ (list1~Join~list2)



          f[x1, x2, x3, y1, y2, y3]




          For a list of lists:



          listOflists = {list1, list2}
          f @@ (Flatten@listOflists)



          f[x1, x2, x3, y1, y2, y3]








          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited Apr 2 at 13:55









          MarcoB

          38.6k557115




          38.6k557115










          answered Apr 2 at 12:28









          Slepecky MamutSlepecky Mamut

          720111




          720111












          • $begingroup$
            Yes, it does. Thanks. I will accept your answer.
            $endgroup$
            – Bran
            Apr 2 at 12:34












          • $begingroup$
            @Bran it gives exactly what you asked for, f[x1, x2, x3, y1, y2, y3]...
            $endgroup$
            – Kuba
            Apr 2 at 12:35










          • $begingroup$
            @Bran I'm not understand. They are! Try it, pls.
            $endgroup$
            – Slepecky Mamut
            Apr 2 at 12:36












          • $begingroup$
            @SlepeckyMamut How can I add more variables to the function not from a list? Like f[z1,z2,x1,x2,x3,y1,y2,y3].
            $endgroup$
            – Bran
            Apr 2 at 12:39








          • 1




            $begingroup$
            @Bran f[whatever, ##, whatever2]& @@ ...
            $endgroup$
            – Kuba
            Apr 2 at 12:44


















          • $begingroup$
            Yes, it does. Thanks. I will accept your answer.
            $endgroup$
            – Bran
            Apr 2 at 12:34












          • $begingroup$
            @Bran it gives exactly what you asked for, f[x1, x2, x3, y1, y2, y3]...
            $endgroup$
            – Kuba
            Apr 2 at 12:35










          • $begingroup$
            @Bran I'm not understand. They are! Try it, pls.
            $endgroup$
            – Slepecky Mamut
            Apr 2 at 12:36












          • $begingroup$
            @SlepeckyMamut How can I add more variables to the function not from a list? Like f[z1,z2,x1,x2,x3,y1,y2,y3].
            $endgroup$
            – Bran
            Apr 2 at 12:39








          • 1




            $begingroup$
            @Bran f[whatever, ##, whatever2]& @@ ...
            $endgroup$
            – Kuba
            Apr 2 at 12:44
















          $begingroup$
          Yes, it does. Thanks. I will accept your answer.
          $endgroup$
          – Bran
          Apr 2 at 12:34






          $begingroup$
          Yes, it does. Thanks. I will accept your answer.
          $endgroup$
          – Bran
          Apr 2 at 12:34














          $begingroup$
          @Bran it gives exactly what you asked for, f[x1, x2, x3, y1, y2, y3]...
          $endgroup$
          – Kuba
          Apr 2 at 12:35




          $begingroup$
          @Bran it gives exactly what you asked for, f[x1, x2, x3, y1, y2, y3]...
          $endgroup$
          – Kuba
          Apr 2 at 12:35












          $begingroup$
          @Bran I'm not understand. They are! Try it, pls.
          $endgroup$
          – Slepecky Mamut
          Apr 2 at 12:36






          $begingroup$
          @Bran I'm not understand. They are! Try it, pls.
          $endgroup$
          – Slepecky Mamut
          Apr 2 at 12:36














          $begingroup$
          @SlepeckyMamut How can I add more variables to the function not from a list? Like f[z1,z2,x1,x2,x3,y1,y2,y3].
          $endgroup$
          – Bran
          Apr 2 at 12:39






          $begingroup$
          @SlepeckyMamut How can I add more variables to the function not from a list? Like f[z1,z2,x1,x2,x3,y1,y2,y3].
          $endgroup$
          – Bran
          Apr 2 at 12:39






          1




          1




          $begingroup$
          @Bran f[whatever, ##, whatever2]& @@ ...
          $endgroup$
          – Kuba
          Apr 2 at 12:44




          $begingroup$
          @Bran f[whatever, ##, whatever2]& @@ ...
          $endgroup$
          – Kuba
          Apr 2 at 12:44


















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